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math.OC2014
Optimal attitude control with two rotation axes
Yuly Billig
Euler proved that every rotation of a 3-dimensional body can be realized as a sequence of three rotations around two given axes. If we allow sequences of an arbitrary length, such…
math.OC2012
Time-optimal decompositions in SU(2)
Yuly Billig
A connected Lie group G is generated by its two 1-parametric subgroups exp(tX), exp(tY) if and only if the Lie algebra of G is generated by {X, Y}. We consider decompositions of el…